we need to solve the following equation:
[tex]-4(3x+1)+x-3=15[/tex]we will first apply the distributive law to the parenthesis
[tex]-12x-4+x-3=15[/tex]the we operate similar terms:
[tex](-12x+x)+(-4-3)=15[/tex]simplifying
[tex]-11x=15+7[/tex][tex]-11x=22[/tex]finally we divide by -11 in both sides of the equality
[tex]\frac{-11x}{-11}=\frac{22}{-11}[/tex]and simplifying, we obtain that:
[tex]x=-2[/tex]